Another thought, just one option to ponder long before you jump on it.
Wood rotting is funny business, there are times to keep it dry, times to keep it 100% wet (on a wooden boat it is the water line, the inbetween air and water, that rots), time to let it dry out vs sealing the water inside, etc. And ice and all its effects.
If you are thinking more about letting it dry out inbetween wets, and you don't mind kinda funky colors, here is the option:
Woodlast (
Allied Building Products: Cements & Coatings - ATCO 1423 WOODLAST 2C )
The color part is green wood. Woodlast is sorta like a green stain, like treated lumber meant to be fence posts.
It is water soluble = easy application and clean up, but there are a few tricky areas. It comes in 5 gal, probably way more than you need. I like to thin it down with water (I have huge decks to spray, it keeps the algae / mildew / slippery situation under control great, and thinner spreads it out and makes it not as easy to see where I did and did not spray) but if you do that means you have to use all you thinned out instantly, or the solution will come apart (hard stuff will settle out of the liquid). So if you don't use up all the mixed / thinned solution, at least get it out of your sprayer. I use my regular garden sprayer, which is a tad less precise than an air gun. So more coats of thinner spray look better, but no matter how skillful you are the appearance will lean towards the functional end of your aesthetic meter. But the function is excellent; I've had wooden decks in a Hawaiian rainforest last 3 decades.
The place will reek for a day or so after you spray. The active ingredient is copper, not arsenic like in early formulas. It takes some chemistry to make copper into a liquid. The overspray will spatter and stain anything it hits. Can be rinsed off if you are quick. Doesn't seem to kill plants but don't bet on it. I would not sit on a freshly sprayed bench in white pants, but I think a week or so later it would be OK.
You may be able to order it at your hardware store. If you have a specialty roofing store they are the most likely to have it in stock. The Bobsey brother of Woodlast (green) is Shakelast (red) which looks like you splashed red clay from Georgia or Wahiawa all over your wood. Great for cedar shake roofs.